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Finding the Third Proportional to 182,014,050.75 and 393,117,729.75

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Solution

The third proportional to 182,014,050.75 and 393,117,729.75 is: 849,063,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,014,050.75 : 393,117,729.75 = 393,117,729.75 : x
  2. Step 2: Convert to fraction form
    182,014,050.75/393,117,729.75 = 393,117,729.75/x
  3. Step 3: Cross multiply
    182,014,050.75x = 393,117,729.75 × 393,117,729.75
  4. Step 4: Simplify right side
    182,014,050.75x = 154,541,549,443,794,048
  5. Step 5: Solve for x
    x = 154,541,549,443,794,048/182,014,050.75
  6. Step 6: Final answer
    x = 849,063,843.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.